Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7249/81,3404/104
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7249,3404
Greatest Common Factor of Numerators i.e. GCF of 7249,3404 is 1 .
LCM of Denominators means LCM of 81,104 as per the given fractions.
LCM of 81,104 is 8424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7249,3404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7249
List of positive integer factors of 7249 that divides 7249 without a remainder.
1,11,659,7249
Factors of 3404
List of positive integer factors of 3404 that divides 3404 without a remainder.
1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 7249,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 7249,3404 is 1.
Lets's calculate LCM of 81,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 8424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8424
Therefore, the GCF of Fractions 7249/81,3404/104 is 1/8424
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 81,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,104) x common factors =1 x 1 = 1
LCM(81,104) = ( 81 × 104 ) / 1
LCM(81,104) = 8424 / 1
LCM(81,104) = 8424
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 7249/81, 3404/104?
Answer: GCF of Numerators as per given numbers 7249/81, 3404/104 is
GCF of Numerators i.e. for 7249,3404 is 1
LCM of denominators i.e. for 81,104 is 8424.
Thus, GCF of Fractions is 1/8424.Finally, GCF of Fractions for 7249/81, 3404/104 is 1/8424.